Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 2496, 2502 i.e. 6 largest integer by which both the numbers can be divided.
Greatest common factor (GCF) of 2496 and 2502 is 6.
GCF(2496,2502) = 6
Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;
Prime Factorization of 2496
2 | 2496 |
2 | 1248 |
2 | 624 |
2 | 312 |
2 | 156 |
2 | 78 |
3 | 39 |
13 | 13 |
1 |
Prime factors of 2496 are 2,3,13. Prime factorization of 2496 in exponential form is:
2496 = 26×31×131
Prime Factorization of 2502
2 | 2502 |
3 | 1251 |
3 | 417 |
139 | 139 |
1 |
Prime factors of 2502 are 2,3,139. Prime factorization of 2502 in exponential form is:
2502 = 21×32×1391
∴ So by taking common prime factors GCF of 2496 and 2502 is 6
Factors of 2496
List of positive integer factors of 2496 that divides 2496 without a remainder.
1,2,3,4,6,8,12,13,16,24,26,32,39,48,52,64,78,96,104,156,192,208,312,416,624,832,1248,2496
Factors of 2502
List of positive integer factors of 2502 that divides 2502 without a remainder.
1,2,3,6,9,18,139,278,417,834,1251,2502
Greatest Common Factor
We found the factors and prime factorization of 2496 and 2502. The biggest common factor number is the GCF number.
So the greatest common factor 2496 and 2502 is 6.
Also check out the Least Common Multiple of 2496 and 2502
(i) The GCF of 2496 and 2502 is associative
GCF of 2496 and 2502 = GCF of 2502 and 2496
1. What is the GCF of 2496 and 2502?
Answer: GCF of 2496 and 2502 is 6.
2. What are the Factors of 2496?
Answer: Factors of 2496 are 1, 2, 3, 4, 6, 8, 12, 13, 16, 24, 26, 32, 39, 48, 52, 64, 78, 96, 104, 156, 192, 208, 312, 416, 624, 832, 1248, 2496. There are 28 integers that are factors of 2496. The greatest factor of 2496 is 2496.
3. What are the Factors of 2502?
Answer: Factors of 2502 are 1, 2, 3, 6, 9, 18, 139, 278, 417, 834, 1251, 2502. There are 12 integers that are factors of 2502. The greatest factor of 2502 is 2502.
4. How to Find the GCF of 2496 and 2502?
Answer:
Greatest Common Factor of 2496 and 2502 = 6
Step 1: Find the prime factorization of 2496
2496 = 2 x 2 x 2 x 2 x 2 x 2 x 3 x 13
Step 2: Find the prime factorization of 2502
2502 = 2 x 3 x 3 x 139
Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:
GCF = 2 x 3 = 6
Step 4: Therefore, the greatest common factor of 2496 and 2502 is 6